{
  "id": "math/0310376",
  "version": "v1",
  "published": "2003-10-23T14:35:40.000Z",
  "updated": "2003-10-23T14:35:40.000Z",
  "title": "Monomial invariants in codimension two",
  "authors": [
    "A. Alzati",
    "A. Tortora"
  ],
  "comment": "LaTeX, 8 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We define the monomial invariants of a projective variety $Z$; they are invariants coming from the generic initial ideal of $Z$. Using this notion, we generalize a result of Cook: If $Z$ is an integral variety of codimension two, satisfying the additional hypothesis $s_Z=s_\\Gamma,$ then its monomial invariants are connected.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-23T14:35:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M07"
    ],
    "keywords": [
      "monomial invariants",
      "codimension",
      "generic initial ideal",
      "integral variety",
      "additional hypothesis"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10376A"
    }
  }
}